It's a struggle, I feel your burnt out pain. I went through a similar stretch last year...
I tried traveling, I tried picking up new hobbies, I tried not working at all.
2 things that helped the most:
1. seeing a therapist regularly -- wish i started this sooner in my career. 2. taking a break and traveling with a group called unsettled - group of 30 people who are in transition in some way... leaving job, starting new job, switching careers, wanting to leave job, wanting to start a company, starting a company, etc. unsettled gets you a shared house and coworking space. Being around people from all over the world is inspiring and gives you new perspective. There are other companies that offer this remoteyear, etc. but unsettled attracts people in transition which i found to be a good fit for me. see here http://beunsettled.co